Answer:
x = 24
y = 19
Step-by-step explanation:
From the picture attached,
m(∠CAB) = (5y - 23)° [Vertically opposite angles]
By applying triangle sum theorem in ΔABC,
(5y - 23)° + (2x + 13)° + 47° = 180°
2x + 5y = 143 -----(1)
(3x)° = (5y - 23)° [Corresponding angles]
3x - 5y = -23 -----(2)
By adding equation (1) and (2)
(2x + 5y) + (3x - 5y) = 143 - 23
5x = 120
x = 24
From equation (2)
3(24) - 5y = -23
72 - 5y = -23
5y = 95
y = 19
We are given that
number of male kittens =7
number of female kittens =5
total number of kittens = number of male kittens + number of female kittens
total number of kittens = 7+5
total number of kittens = 12
now, we can find probability of selecting female kittens
P(female kittens)=(number of female kittens)/( total number of kittens)
P(female kittens) is
now, we are given that
Donna randomly selects one, puts it back, and then randomly selects another
so, both probability are independent
so,
the probability that both selections were female kittens is
=P(female kittens)*P(female kittens)
now, we can plug values
the probability that both selections were female kittens is
...............Answer